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3 years ago

How do you get an equation in slope intercept form through the points (-1,-2) and (1,4)

Mathematics

1 answer:

Sever21 [200]3 years ago

6 0

(4+2)/(1+1)= 6/2= 3 is the slope

y + 2 = 3(x + 1)
y+2=3x+3
y= 3x+1

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pishuonlain [190]

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

7 0

3 years ago

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For the last 4.5 hours, the temperature has decreased at a rate of 2.8 Degrees Fahrenheit per hour. Which best represents the ov

faust18 [17]

Answer:

The overall change in temperature over the time period ∆T = -12.6°F

Step-by-step explanation:

Rate of change of temperature r = -2.8°F per hour

Time t = 4.5 hours

The overall change in temperature ∆T = Rate of change of temperature × time period

∆T = r × t

∆T = -2.8°F per hour × 4.5 hours

∆T = -12.6°F

The overall change in temperature over the time period is -12.6°F

Step-by-step explanation:

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3 years ago

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Sergio [31]

Answer:

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Step-by-step explanation:

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2 years ago

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter

Mandarinka [93]

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

$H=-4.9t^2+5t+2$

The ball will hit the ground when h=0

$-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}$

3 0

2 years ago

A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0

3 years ago